nLab Kefeng Liu

• webpage

Selected writings

On elliptic genera and the rigidity theorem for elliptic genera:

• Kefeng Liu, On modular invariance and rigidity theorems, J. Differential Geom. Volume 41, Number 2 (1995), 343-396 (euclid:jdg/1214456221)

• Kefeng Liu, On elliptic genera and theta-functions, Topology Volume 35, Issue 3, July 1996, Pages 617-640 (doi:10.1016/0040-9383(95)00042-9)

• Kefeng Liu, Modular forms and topology, Proc. of the AMS Conference on the Monster and Related Topics, Contemporary Math. (1996) (pdf, pdf, doi:10.1090/conm/193)

via super vertex operator algebras:

• Chongying Dong, Kefeng Liu, Xiaonan Ma, Elliptic genus and vertex operator algebras, Algebr. Geom. Topol. 1 (2001) 743-762 (arXiv:math/0201135, doi:10.2140/agt.2001.1.743)

On the volume conjecture:

• Qingtao Chen, Kefeng Liu, Shengmao Zhu, Volume conjecture for $SU(n)$-invariants (arXiv:1511.00658)

On the Green-Schwarz mechanism in heterotic string theory and Hořava-Witten theory:

• Fei Han, Kefeng Liu, Weiping Zhang, Anomaly Cancellation and Modularity. II: $E_8 \times E_8$ case, Sci. China Math. 60, 985–994 (2017) (arXiv:1209.4540, doi:10.1007/s11425-016-9034-1)

On gravitino anomaly cancellation in D=11 N=1 supergravity:

• Fei Han, Ruizhi Huang, Kefeng Liu, Weiping Zhang, Cubic forms, anomaly cancellation and modularity, Advances in Mathematics 394 (2022) 108023 [arXiv:2005.02344, doi:10.1016/j.aim.2021.108023]

category: people